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Finding the Fourth Proportional to 501,342.52, 691,941.12 and 297,505.84

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Solution

The fourth proportional to 501,342.52, 691,941.12 and 297,505.84 is: 410,610.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,342.52 : 691,941.12 = 297,505.84 : x
  2. Step 2: Convert to fraction form
    501,342.52/691,941.12 = 297,505.84/x
  3. Step 3: Cross multiply
    501,342.52x = 691,941.12 × 297,505.84
  4. Step 4: Simplify right side
    501,342.52x = 205,856,520,676.44
  5. Step 5: Solve for x
    x = 205,856,520,676.44/501,342.52
  6. Step 6: Final answer
    x = 410,610.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.